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22252017816 = 2333727915273
BaseRepresentation
bin10100101110010100…
…101101100010011000
32010102210002121221000
4110232110231202120
5331033004032231
614120013545000
71415266013340
oct245624554230
963383077830
1022252017816
119489758376
1243901a5160
13213811cc62
141111423d20
158a38106e6
hex52e52d898

22252017816 has 128 divisors (see below), whose sum is σ = 70680038400. Its totient is φ = 6354236160.

The previous prime is 22252017787. The next prime is 22252017817. The reversal of 22252017816 is 61871025222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22252017817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4217356 + ... + 4222628.

It is an arithmetic number, because the mean of its divisors is an integer number (552187800).

Almost surely, 222252017816 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 22252017816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35340019200).

22252017816 is an abundant number, since it is smaller than the sum of its proper divisors (48428020584).

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

22252017816 is a wasteful number, since it uses less digits than its factorization.

22252017816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8086 (or 8076 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 22252017816 in words is "twenty-two billion, two hundred fifty-two million, seventeen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 2791 5273 5582 8373 10546 11164 15819 16746 19537 21092 22328 25119 31638 33492 36911 39074 42184 47457 50238 58611 63276 66984 73822 75357 78148 94914 100476 110733 117222 126552 142371 147644 150714 156296 175833 189828 200952 221466 234444 284742 295288 301428 332199 351666 379656 442932 468888 527499 569484 602856 664398 703332 885864 996597 1054998 1138968 1328796 1406664 1993194 2109996 2657592 3986388 4219992 7972776 14716943 29433886 44150829 58867772 88301658 103018601 117735544 132452487 176603316 206037202 264904974 309055803 353206632 397357461 412074404 529809948 618111606 794714922 824148808 927167409 1059619896 1236223212 1589429844 1854334818 2472446424 2781502227 3178859688 3708669636 5563004454 7417339272 11126008908 22252017816