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3213142152 = 2331166118413
BaseRepresentation
bin1011111110000100…
…1010100010001000
322021221002112101220
42333201022202020
523040031022102
61250500442040
7142424154243
oct27741124210
98257075356
103213142152
1113a980a290
127580a9320
133c28c065c
14226a4a25a
1513c1471bc
hexbf84a888

3213142152 has 64 divisors (see below), whose sum is σ = 8776848960. Its totient is φ = 972153600.

The previous prime is 3213142099. The next prime is 3213142181. The reversal of 3213142152 is 2512413123.

It is a super-2 number, since 2×32131421522 = 20648564977918382208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 165298 + ... + 183710.

It is an arithmetic number, because the mean of its divisors is an integer number (137138265).

Almost surely, 23213142152 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 3213142152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4388424480).

3213142152 is an abundant number, since it is smaller than the sum of its proper divisors (5563706808).

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

3213142152 is a wasteful number, since it uses less digits than its factorization.

3213142152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19094 (or 19090 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 3213142152 is about 56684.5847828137. The cubic root of 3213142152 is about 1475.6271816374.

Adding to 3213142152 its reverse (2512413123), we get a palindrome (5725555275).

The spelling of 3213142152 in words is "three billion, two hundred thirteen million, one hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 661 1322 1983 2644 3966 5288 7271 7932 14542 15864 18413 21813 29084 36826 43626 55239 58168 73652 87252 110478 147304 174504 202543 220956 405086 441912 607629 810172 1215258 1620344 2430516 4861032 12170993 24341986 36512979 48683972 73025958 97367944 133880923 146051916 267761846 292103832 401642769 535523692 803285538 1071047384 1606571076 3213142152