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153153221220 = 223254120752469
BaseRepresentation
bin1000111010100010100…
…1001011001001100100
3112122022111210202012200
42032220221023021210
510002124211034340
6154205125014500
714031164621016
oct2165051131144
9478274722180
10153153221220
1159a520009aa
1225822854430
131159991cb2c
1475ac4801b6
153eb583c330
hex23a8a4b264

153153221220 has 72 divisors (see below), whose sum is σ = 475895642040. Its totient is φ = 39844738560.

The previous prime is 153153221209. The next prime is 153153221237. The reversal of 153153221220 is 22122351351.

153153221220 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 532 + 2 + 122 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17253347904 + 135899873316 = 131352^2 + 368646^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10368855 + ... + 10383614.

It is an arithmetic number, because the mean of its divisors is an integer number (6609661695).

Almost surely, 2153153221220 is an apocalyptic number.

153153221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153153221220 is an abundant number, since it is smaller than the sum of its proper divisors (322742420820).

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

153153221220 is a wasteful number, since it uses less digits than its factorization.

153153221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20752525 (or 20752520 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 153153221220 its reverse (22122351351), we get a palindrome (175275572571).

The spelling of 153153221220 in words is "one hundred fifty-three billion, one hundred fifty-three million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 20752469 41504938 62257407 83009876 103762345 124514814 186772221 207524690 249029628 311287035 373544442 415049380 622574070 747088884 850851229 933861105 1245148140 1701702458 1867722210 2552553687 3403404916 3735444420 4254256145 5105107374 7657661061 8508512290 10210214748 12762768435 15315322122 17017024580 25525536870 30630644244 38288305305 51051073740 76576610610 153153221220