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2153650152 = 2331922321179
BaseRepresentation
bin1000000001011110…
…0001011111101000
312120002110202121110
42000113201133220
513402313301102
6553412110320
7104240503263
oct20027413750
95502422543
102153650152
11a05752265
125013053a0
13284253804
14166053cda
15c911386c
hex805e17e8

2153650152 has 64 divisors (see below), whose sum is σ = 5693184000. Its totient is φ = 677018304.

The previous prime is 2153650139. The next prime is 2153650159. The reversal of 2153650152 is 2510563512.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2153650159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91099 + ... + 112277.

It is an arithmetic number, because the mean of its divisors is an integer number (88956000).

Almost surely, 22153650152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153650152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846592000).

2153650152 is an abundant number, since it is smaller than the sum of its proper divisors (3539533848).

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

2153650152 is a wasteful number, since it uses less digits than its factorization.

2153650152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21430 (or 21426 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 2153650152 is about 46407.4363868551. The cubic root of 2153650152 is about 1291.3928732501.

The spelling of 2153650152 in words is "two billion, one hundred fifty-three million, six hundred fifty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 223 228 446 456 669 892 1338 1784 2676 4237 5352 8474 12711 16948 21179 25422 33896 42358 50844 63537 84716 101688 127074 169432 254148 402401 508296 804802 1207203 1609604 2414406 3219208 4722917 4828812 9445834 9657624 14168751 18891668 28337502 37783336 56675004 89735423 113350008 179470846 269206269 358941692 538412538 717883384 1076825076 2153650152