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22553155540 = 225231492811171
BaseRepresentation
bin10101000000010001…
…011101011111010100
32011012202202000020001
4111000101131133110
5332142101434130
614205532221044
71425613442026
oct250021353724
964182660201
1022553155540
119623739623
12445500a784
132185628866
14113d412016
158bee966ca
hex54045d7d4

22553155540 has 96 divisors (see below), whose sum is σ = 49972204800. Its totient is φ = 8533324800.

The previous prime is 22553155529. The next prime is 22553155549. The reversal of 22553155540 is 4555135522.

It is a super-2 number, since 2×225531555402 (a number of 22 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 22553155540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22553155549) 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, 19259155 + ... + 19260325.

It is an arithmetic number, because the mean of its divisors is an integer number (520543800).

Almost surely, 222553155540 is an apocalyptic number.

22553155540 is a gapful number since it is divisible by the number (20) 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 22553155540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24986102400).

22553155540 is an abundant number, since it is smaller than the sum of its proper divisors (27419049260).

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

22553155540 is a wasteful number, since it uses less digits than its factorization.

22553155540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 37.

The spelling of 22553155540 in words is "twenty-two billion, five hundred fifty-three million, one hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 149 230 281 298 460 562 596 745 1124 1171 1405 1490 2342 2810 2980 3427 4684 5620 5855 6463 6854 11710 12926 13708 17135 23420 25852 26933 32315 34270 41869 53866 64630 68540 83738 107732 129260 134665 167476 174479 209345 269330 329051 348958 418690 538660 658102 697916 837380 872395 962987 1316204 1645255 1744790 1925974 3290510 3489580 3851948 4013017 4814935 6581020 7568173 8026034 9629870 15136346 16052068 19259740 20065085 30272692 37840865 40130170 49028599 75681730 80260340 98057198 151363460 196114396 245142995 490285990 980571980 1127657777 2255315554 4510631108 5638288885 11276577770 22553155540