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2150557552 = 2411135989179
BaseRepresentation
bin1000000000101110…
…1110011101110000
312112212122122100201
42000023232131300
513401020320202
6553221524544
7104202303043
oct20013563560
95485578321
102150557552
11a03a2a7a0
12500273754
1328370cc80
1416588ac5a
15c8c02387
hex802ee770

2150557552 has 160 divisors (see below), whose sum is σ = 5062176000. Its totient is φ = 872171520.

The previous prime is 2150557547. The next prime is 2150557559. The reversal of 2150557552 is 2557550512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2150557559) 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, 12014199 + ... + 12014377.

It is an arithmetic number, because the mean of its divisors is an integer number (31638600).

Almost surely, 22150557552 is an apocalyptic number.

2150557552 is a gapful number since it is divisible by the number (22) 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 2150557552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531088000).

2150557552 is an abundant number, since it is smaller than the sum of its proper divisors (2911618448).

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

2150557552 is a wasteful number, since it uses less digits than its factorization.

2150557552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 87500, while the sum is 37.

The square root of 2150557552 is about 46374.1043255824. The cubic root of 2150557552 is about 1290.7744387321.

The spelling of 2150557552 in words is "two billion, one hundred fifty million, five hundred fifty-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 59 88 89 104 118 143 176 178 179 208 236 286 356 358 472 572 649 712 716 767 944 979 1144 1157 1298 1424 1432 1534 1958 1969 2288 2314 2327 2596 2864 3068 3916 3938 4628 4654 5192 5251 6136 7832 7876 8437 9256 9308 10384 10502 10561 12272 12727 15664 15752 15931 16874 18512 18616 21004 21122 25454 25597 31504 31862 33748 37232 42008 42244 50908 51194 57761 63724 67496 68263 84016 84488 101816 102388 115522 116171 127448 134992 136526 137293 168976 175241 203632 204776 207103 231044 232342 254896 273052 274586 350482 409552 414206 462088 464684 546104 549172 700964 750893 828412 924176 929368 939929 1092208 1098344 1401928 1501786 1510223 1656824 1858736 1879858 2196688 2278133 2803856 3003572 3020446 3313648 3759716 4556266 6007144 6040892 7519432 9112532 10339219 12014288 12081784 12219077 15038864 18225064 20678438 24163568 24438154 36450128 41356876 48876308 82713752 97752616 134409847 165427504 195505232 268819694 537639388 1075278776 2150557552