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151223380 = 225711279113
BaseRepresentation
bin10010000001101…
…11110001010100
3101112112221110221
421000313301110
5302203122010
623001124124
73514243330
oct1100676124
9345487427
10151223380
11783a8400
1242789644
13254399b9
14161267c0
15d421dda
hex9037c54

151223380 has 144 divisors (see below), whose sum is σ = 407554560. Its totient is φ = 46126080.

The previous prime is 151223357. The next prime is 151223383. The reversal of 151223380 is 83322151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151223383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1338204 + ... + 1338316.

It is an arithmetic number, because the mean of its divisors is an integer number (2830240).

Almost surely, 2151223380 is an apocalyptic number.

151223380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151223380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203777280).

151223380 is an abundant number, since it is smaller than the sum of its proper divisors (256331180).

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

151223380 is a wasteful number, since it uses less digits than its factorization.

151223380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 151223380 is about 12297.2915717242. The cubic root of 151223380 is about 532.7698588837.

The spelling of 151223380 in words is "one hundred fifty-one million, two hundred twenty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 79 110 113 121 140 154 158 220 226 242 308 316 385 395 452 484 553 565 605 770 790 791 847 869 1106 1130 1210 1243 1540 1580 1582 1694 1738 2212 2260 2420 2486 2765 3164 3388 3476 3955 4235 4345 4972 5530 6083 6215 7910 8470 8690 8701 8927 9559 11060 12166 12430 13673 15820 16940 17380 17402 17854 19118 24332 24860 27346 30415 34804 35708 38236 43505 44635 47795 54692 60830 62489 66913 68365 87010 89270 95590 95711 98197 121660 124978 133826 136730 174020 178540 191180 191422 196394 249956 267652 273460 312445 334565 382844 392788 478555 490985 624890 669130 687379 957110 981970 1080167 1249780 1338260 1374758 1914220 1963940 2160334 2749516 3436895 4320668 5400835 6873790 7561169 10801670 13747580 15122338 21603340 30244676 37805845 75611690 151223380