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155224032 = 25341113349
BaseRepresentation
bin10010100000010…
…00011111100000
3101211002012100020
421100020133200
5304214132112
623222553440
73563245125
oct1120103740
9354065306
10155224032
117a690127
1243b98880
132620a952
141688874c
15d96248c
hex94087e0

155224032 has 96 divisors (see below), whose sum is σ = 422301600. Its totient is φ = 49889280.

The previous prime is 155224021. The next prime is 155224039. The reversal of 155224032 is 230422551.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1552240322 = 48189000220674048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 155223993 and 155224011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155224039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444594 + ... + 444942.

It is an arithmetic number, because the mean of its divisors is an integer number (4398975).

Almost surely, 2155224032 is an apocalyptic number.

155224032 is a gapful number since it is divisible by the number (12) 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 155224032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211150800).

155224032 is an abundant number, since it is smaller than the sum of its proper divisors (267077568).

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

155224032 is a wasteful number, since it uses less digits than its factorization.

155224032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 155224032 is about 12458.8936908539. The cubic root of 155224032 is about 537.4272129309.

Adding to 155224032 its reverse (230422551), we get a palindrome (385646583).

The spelling of 155224032 in words is "one hundred fifty-five million, two hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 113 123 164 226 246 328 339 349 452 492 656 678 698 904 984 1047 1312 1356 1396 1808 1968 2094 2712 2792 3616 3936 4188 4633 5424 5584 8376 9266 10848 11168 13899 14309 16752 18532 27798 28618 33504 37064 39437 42927 55596 57236 74128 78874 85854 111192 114472 118311 148256 157748 171708 222384 228944 236622 315496 343416 444768 457888 473244 630992 686832 946488 1261984 1373664 1616917 1892976 3233834 3785952 4850751 6467668 9701502 12935336 19403004 25870672 38806008 51741344 77612016 155224032