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2242153255152 = 243297123397367
BaseRepresentation
bin100000101000001010101…
…111111001000011110000
321221100101111220202201210
4200220022233321003300
5243213412213131102
64434010405400120
7320663435132466
oct40501257710360
97840344822653
102242153255152
1179498a072538
12302664709040
13133584a7b875
147a7410cc836
153d4cbec036c
hex20a0abf90f0

2242153255152 has 160 divisors (see below), whose sum is σ = 6102496558080. Its totient is φ = 708388280320.

The previous prime is 2242153255109. The next prime is 2242153255171. The reversal of 2242153255152 is 2515523512422.

It is a super-2 number, since 2×22421532551522 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2242153255152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22979173 + ... + 23076539.

It is an arithmetic number, because the mean of its divisors is an integer number (38140603488).

Almost surely, 22242153255152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242153255152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051248279040).

2242153255152 is an abundant number, since it is smaller than the sum of its proper divisors (3860343302928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2242153255152 is a wasteful number, since it uses less digits than its factorization.

2242153255152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97711 (or 97705 counting only the distinct ones).

The product of its digits is 240000, while the sum is 39.

Adding to 2242153255152 its reverse (2515523512422), we get a palindrome (4757676767574).

The spelling of 2242153255152 in words is "two trillion, two hundred forty-two billion, one hundred fifty-three million, two hundred fifty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 71 87 116 142 174 213 232 233 284 348 426 464 466 568 696 699 852 932 1136 1392 1398 1704 1864 2059 2796 3408 3728 4118 5592 6177 6757 8236 11184 12354 13514 16472 16543 20271 24708 27028 32944 33086 40542 49416 49629 54056 66172 81084 97367 98832 99258 108112 132344 162168 194734 198516 264688 292101 324336 389468 397032 479747 584202 778936 794064 959494 1168404 1439241 1557872 1918988 2336808 2823643 2878482 3837976 4673616 5647286 5756964 6913057 7675952 8470929 11294572 11513928 13826114 16941858 20739171 22589144 22686511 23027856 27652228 33883716 41478342 45178288 45373022 55304456 67767432 68059533 82956684 90746044 110608912 135534864 136119066 165913368 181492088 200478653 272238132 331826736 362984176 400957306 544476264 601435959 657908819 801914612 1088952528 1202871918 1315817638 1603829224 1610742281 1973726457 2405743836 2631635276 3207658448 3221484562 3947452914 4811487672 4832226843 5263270552 6442969124 7894905828 9622975344 9664453686 10526541104 12885938248 15789811656 19328907372 25771876496 31579623312 38657814744 46711526149 77315629488 93423052298 140134578447 186846104596 280269156894 373692209192 560538313788 747384418384 1121076627576 2242153255152