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155027402200 = 235211241915289
BaseRepresentation
bin1001000001100001011…
…0100110110111011000
3112211011010102000012001
42100120112212313120
510014444003332300
6155115115130344
714125503114346
oct2203026466730
9484133360161
10155027402200
115a823a21900
12260664439b4
1311807cb3768
147709346996
15407514a16a
hex24185a6dd8

155027402200 has 144 divisors (see below), whose sum is σ = 397156221000. Its totient is φ = 56235379200.

The previous prime is 155027402197. The next prime is 155027402207. The reversal of 155027402200 is 2204720551.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155027402207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10132156 + ... + 10147444.

Almost surely, 2155027402200 is an apocalyptic number.

155027402200 is a gapful number since it is divisible by the number (10) 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 155027402200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198578110500).

155027402200 is an abundant number, since it is smaller than the sum of its proper divisors (242128818800).

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

155027402200 is a wasteful number, since it uses less digits than its factorization.

155027402200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15746 (or 15726 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The spelling of 155027402200 in words is "one hundred fifty-five billion, twenty-seven million, four hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 419 440 484 550 605 838 968 1100 1210 1676 2095 2200 2420 3025 3352 4190 4609 4840 6050 8380 9218 10475 12100 15289 16760 18436 20950 23045 24200 30578 36872 41900 46090 50699 61156 76445 83800 92180 101398 115225 122312 152890 168179 184360 202796 230450 253495 305780 336358 382225 405592 460900 506990 611560 672716 764450 840895 921800 1013980 1267475 1345432 1528900 1681790 1849969 2027960 2534950 3057800 3363580 3699938 4204475 5069900 6406091 6727160 7399876 8408950 9249845 10139800 12812182 14799752 16817900 18499690 25624364 32030455 33635800 36999380 46249225 51248728 64060910 70467001 73998760 92498450 128121820 140934002 160152275 184996900 256243640 281868004 320304550 352335005 369993800 563736008 640609100 704670010 775137011 1281218200 1409340020 1550274022 1761675025 2818680040 3100548044 3523350050 3875685055 6201096088 7046700100 7751370110 14093400200 15502740220 19378425275 31005480440 38756850550 77513701100 155027402200