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2264230456464 = 243317320844661
BaseRepresentation
bin100000111100101110101…
…001101110110010010000
322000110101010001210111110
4200330232221232302100
5244044120444101324
64452101220413320
7322404512220054
oct40745651566220
98013333053443
102264230456464
117a3289078659
123069a6247240
131356928c10b2
147b837207c64
153dd7029d329
hex20f2ea6ec90

2264230456464 has 80 divisors (see below), whose sum is σ = 6120659792384. Its totient is φ = 720391449600.

The previous prime is 2264230456409. The next prime is 2264230456469. The reversal of 2264230456464 is 4646540324622.

It is a super-3 number, since 3×22642304564643 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2264230456469) 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, 10313707 + ... + 10530954.

Almost surely, 22264230456464 is an apocalyptic number.

2264230456464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2264230456464 is an abundant number, since it is smaller than the sum of its proper divisors (3856429335920).

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

2264230456464 is a wasteful number, since it uses less digits than its factorization.

2264230456464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20844776 (or 20844770 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 48.

The spelling of 2264230456464 in words is "two trillion, two hundred sixty-four billion, two hundred thirty million, four hundred fifty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 73 93 124 146 186 219 248 292 372 438 496 584 744 876 1168 1488 1752 2263 3504 4526 6789 9052 13578 18104 27156 36208 54312 108624 20844661 41689322 62533983 83378644 125067966 166757288 250135932 333514576 500271864 646184491 1000543728 1292368982 1521660253 1938553473 2584737964 3043320506 3877106946 4564980759 5169475928 6086641012 7754213892 9129961518 10338951856 12173282024 15508427784 18259923036 24346564048 31016855568 36519846072 47171467843 73039692144 94342935686 141514403529 188685871372 283028807058 377371742744 566057614116 754743485488 1132115228232 2264230456464