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153229400 = 23524716301
BaseRepresentation
bin10010010001000…
…01100001011000
3101200022212012222
421020201201120
5303211320100
623112123212
73540266642
oct1110414130
9350285188
10153229400
1179548575
1243396508
132598caac
14164c9892
15d6bb485
hex9221858

153229400 has 48 divisors (see below), whose sum is σ = 363860640. Its totient is φ = 59984000.

The previous prime is 153229399. The next prime is 153229429. The reversal of 153229400 is 4922351.

It is a self number, because there is not a number n which added to its sum of digits gives 153229400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1250 + ... + 17550.

It is an arithmetic number, because the mean of its divisors is an integer number (7580430).

Almost surely, 2153229400 is an apocalyptic number.

153229400 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 153229400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181930320).

153229400 is an abundant number, since it is smaller than the sum of its proper divisors (210631240).

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

153229400 is a wasteful number, since it uses less digits than its factorization.

153229400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16364 (or 16355 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 153229400 is about 12378.5863490142. The cubic root of 153229400 is about 535.1152981770.

The spelling of 153229400 in words is "one hundred fifty-three million, two hundred twenty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 940 1175 1880 2350 4700 9400 16301 32602 65204 81505 130408 163010 326020 407525 652040 766147 815050 1532294 1630100 3064588 3260200 3830735 6129176 7661470 15322940 19153675 30645880 38307350 76614700 153229400