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153230440 = 235111918329
BaseRepresentation
bin10010010001000…
…01110001101000
3101200022220122111
421020201301220
5303211333230
623112132104
73540302656
oct1110416150
9350286574
10153230440
1179549330
1243397034
13259903cc
14164c9dd6
15d6bb92a
hex9221c68

153230440 has 64 divisors (see below), whose sum is σ = 395928000. Its totient is φ = 52784640.

The previous prime is 153230419. The next prime is 153230471. The reversal of 153230440 is 44032351.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 805 + ... + 17524.

It is an arithmetic number, because the mean of its divisors is an integer number (6186375).

Almost surely, 2153230440 is an apocalyptic number.

153230440 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 153230440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197964000).

153230440 is an abundant number, since it is smaller than the sum of its proper divisors (242697560).

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

153230440 is a wasteful number, since it uses less digits than its factorization.

153230440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18370 (or 18366 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 153230440 is about 12378.6283569707. The cubic root of 153230440 is about 535.1165088208.

Adding to 153230440 its reverse (44032351), we get a palindrome (197262791).

The spelling of 153230440 in words is "one hundred fifty-three million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 18329 36658 73316 91645 146632 183290 201619 348251 366580 403238 696502 733160 806476 1008095 1393004 1612952 1741255 2016190 2786008 3482510 3830761 4032380 6965020 7661522 8064760 13930040 15323044 19153805 30646088 38307610 76615220 153230440