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22252160935152 = 24321938149213193
BaseRepresentation
bin1010000111100111111000…
…01001011110010011110000
32220210021201100121002111100
411003303330021132103300
510404034411144411102
6115154300203044400
74454444202064131
oct503637411362360
986707640532440
1022252160935152
1170aa0a780a695
1225b474b810700
13c554a650b635
1456d02050bc88
15288c6a72ea1c
hex143cfc25e4f0

22252160935152 has 120 divisors (see below), whose sum is σ = 65554809866000. Its totient is φ = 7026781031424.

The previous prime is 22252160935129. The next prime is 22252160935159. The reversal of 22252160935152 is 25153906125222.

22252160935152 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 2 + 1 + 609 + 35 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×222521609351522 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22252160935098 and 22252160935107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22252160935159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104269068 + ... + 104482260.

Almost surely, 222252160935152 is an apocalyptic number.

It is an amenable number.

22252160935152 is an abundant number, since it is smaller than the sum of its proper divisors (43302648930848).

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

22252160935152 is a wasteful number, since it uses less digits than its factorization.

22252160935152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251375 (or 251366 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 22252160935152 in words is "twenty-two trillion, two hundred fifty-two billion, one hundred sixty million, nine hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 38149 76298 114447 152596 213193 228894 305192 343341 426386 457788 610384 639579 686682 724831 852772 915576 1279158 1373364 1449662 1705544 1831152 1918737 2174493 2558316 2746728 2899324 3411088 3837474 4050667 4348986 5116632 5493456 5798648 6523479 7674948 8101334 8697972 10233264 11597296 12152001 13046958 15349896 16202668 17395944 24304002 26093916 30699792 32405336 34791888 36456003 48608004 52187832 64810672 72912006 97216008 104375664 145824012 194432016 291648024 583296048 8133099757 16266199514 24399299271 32532399028 48798598542 65064798056 73197897813 97597197084 130129596112 146395795626 154528895383 195194394168 292791591252 309057790766 390388788336 463586686149 585583182504 618115581532 927173372298 1171166365008 1236231163064 1390760058447 1854346744596 2472462326128 2781520116894 3708693489192 5563040233788 7417386978384 11126080467576 22252160935152